数学核心素养理念下的平面解析几何教学的实践与思考

The Plane Analytic Geometry Teaching under the Concept of Mathematical Core Literacy

平面解析几何教学要树立以发展学生数学核心素养为导向的教学意识,精心创设情境和设计问题,发展数学学科核心素养;注重概念探究,着力培养数学抽象素养;突出数学思想的引领,提升逻辑推理;注重数学文化的渗透,提升人文素养;运用信息技术,着力培养直观想象素养。从而提高学生的运算能力,发展其数学运算素养;注重建模过程,揭示本质,发展学生的严密逻辑思维;增强开放性问题和解法多样性,着力培养学生的创新思维:培养学生用数学的眼光观察数学世界,用数学的思维分析现实世界,用数学的语言表达数学世界。

The teaching of high school plane analytic geometry should firstly set up the teaching consciousness oriented by the development of the students'core mathematics accomplishment,carefully create the situation and design problems,and develop the core quality of mathematics discipline.Secondly,pay attention to the concept exploration and cultivate mathematics abstract accomplishment.Thirdly,highlight the guidance of mathematical thought and enhance logical reasoning.Fourthly,focus on the infiltration of mathematical culture and improve humanistic quality.Finally,use information technology to cultivate visual imagination.In this way,the students'operational ability is improved and the mathematical computing literacy is developed.We should also pay attention to the modeling process,reveal the essence,develop strict logical thinking,enhance open problems and the diversity of solutions,and strive to cultivate their innovative thinking:train students to observe the world of mathematics with mathematical eyes,analyze the real world with mathematical thinking,and express the mathematical world in mathematical language.